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Finding the Fourth Proportional to 11,417.61, 17,127.78 and 4,842.94

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Solution

The fourth proportional to 11,417.61, 17,127.78 and 4,842.94 is: 7,264.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,417.61 : 17,127.78 = 4,842.94 : x
  2. Step 2: Convert to fraction form
    11,417.61/17,127.78 = 4,842.94/x
  3. Step 3: Cross multiply
    11,417.61x = 17,127.78 × 4,842.94
  4. Step 4: Simplify right side
    11,417.61x = 82,948,810.87
  5. Step 5: Solve for x
    x = 82,948,810.87/11,417.61
  6. Step 6: Final answer
    x = 7,264.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.